Gröbner bases for everyone with CoCoA-5 and CoCoALib / John Abbott and Anna Maria Bigatti -- Gröbner bases computation by triangularizing Macaulay matrices / Bruno Buchberger -- Algebraic problems in structural equation modeling / Mathias Drton -- BM algorithms for noisy data and implicit regression modelling / Claudia Fassino, Hans Michael Möller and Eva Riccomagno -- The multiple roots phenomenon in maximum likelihood estimation for factor analysis / Elizabeth Gross, Sonja Petrović, Donald Richards and Despina Stasi -- A necessary condition for an edge ring to satisfy Serre's condition (S₂) / Akihiro Higashitani and Kyouko Kimura -- Equivariant Gröbner Bases / Christopher J Hillar, Robert Krone and Anton Leykin -- Semigroups -- a computational approach / Florian Kohl, Yanxi Li, Johannes Rauh and Ruriko Yoshida -- Algebraic tools for the analysis of state space models / Nicolette Meshkat, Zvi Rosen and Seth Sullivant -- Selected topics on toric varieties / Mateusz Michałek -- Algorithms for D-modules, integration, and generalized functions with applications to statistics / Toshinori Oaku -- Localization, local cohomology, and the b-function of a D-module with respect to a polynomial / A characterization of Gorenstein planar graphs / Tran Nam Trung -- Differential relations for the largest root distribution of complex non-central Wishart matrices / Raimundas Vidunas and Akimichi Takemura